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Finding the Fourth Proportional to 948.48, 1,310.52 and 753.72

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Solution

The fourth proportional to 948.48, 1,310.52 and 753.72 is: 1,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.48 : 1,310.52 = 753.72 : x
  2. Step 2: Convert to fraction form
    948.48/1,310.52 = 753.72/x
  3. Step 3: Cross multiply
    948.48x = 1,310.52 × 753.72
  4. Step 4: Simplify right side
    948.48x = 987,765.13
  5. Step 5: Solve for x
    x = 987,765.13/948.48
  6. Step 6: Final answer
    x = 1,041.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.